Multipolar Intuitionistic Fuzzy Hyper BCK-Ideals in Hyper BCK-Algebras

Abstract

In 2020, Kang et al. introduced the concept of a multipolar intuitionistic fuzzy set of finite degree, which is a generalization of ak-polar fuzzy set, and applied it to a BCK/BCI-algebra. The specific purpose of this study was to apply the concept of a multipolar intuitionistic fuzzy set of finite degree to a hyper BCK-algebra. The notions of thek-polar intuitionistic fuzzy hyper BCK-ideal, thek-polar intuitionistic fuzzy weak hyper BCK-ideal, thek-polar intuitionistic fuzzys-weak hyper BCK-ideal, thek-polar intuitionistic fuzzy strong hyper BCK-ideal and thek-polar intuitionistic fuzzy reflexive hyper BCK-ideal are introduced herein, and their relations and properties are investigated. These concepts are discussed in connection with thek-polar lower level set and thek-polar upper level set.